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Trigonometry Part 8: Advance maths important questions.

Trigonometry Part 8: Advance maths important questions.

Q281. If cosec A = 2 then Trigonometry Part 8: Advance math series 2000 most important questions.

(a) 2

(b) 5

(c) 4

(d) 1

Q282. The angle of elevation of tower at a point is such that the value of its tan is Trigonometry Part 8: Advance math series 2000 most important questions. on moving 240m towards the tower its value of tan of angle fo elevation becomes Trigonometry Part 8: Advance math series 2000 most important questions. Then the height of the tower is:

(a) 220 m

(b) 200 m

(c) 225 m

(d) 240 m

Q283. The minimum value of 2sin2θ+3cos2θ is

(a) 0

(b) 3

(c) 2

(d) 1

Q284. If cosec 39° = x, the value  of ooo

 

(a)Trigonometry Part 8: Advance math series 2000 most important questions.

(b)Trigonometry Part 8: Advance math series 2000 most important questions.

(c)   x2– 1                     

(d) 1 – x2

Q285. The value of tan 4° tan 43° . tan 47°. tan 86° is

(a) 2

(b) 3

(c) 1

(d) 4

Trigonometry Part 8
Q286. 

(a)   2/√3

(b)   √3/2

(c)     1/2

(d)     1

Q287.  If cos x + cos y = 2, the value of sin x + sin y is :

(a) 0

(b) 1

(c) 2

(d) -1

Q288.  The value of tan 1° tan 2° tan 3°…..tan 89° Is :

(a) 1

(b) 0

(c) √3

(d) 1/√3

Q289.  The measure of the angles of a triangle are in the ration 2 : 7 : 11. Measures of angles are :

(a)   16° 56° 88°

(b)   18° 63° 99°

(c)   20° 70° 90°

(d)   25° 175° 105°

Q290.  The angles of a triangle are (x+5)°, (2x-3)° and (3x+4)°. The value of x is

(a) 30

(b) 31

(c) 29

(d) 28

Q291. The value of cot 10°. Cot 20° cot 60°. Cot .70°.cot 80° is :

(a)    1

(b)   -1

(c)   √3

(d)  1/√3

Q292. If  θ be an acute angle and 7 sin θ + 3cos θ= 4, then the value of tan θ is:

(a) √3

(b) 1/√3

(c) 1

(d) 0

Q293. The value of sin21° + sin25° + sin29° + …+ sin289° is

(a) 

(b) 11√2

(c) 11

(d) 11/√2

Q294. The numerical value of cot18° Trigonometry Part 8 (Solution): Advance math series 2000 most important questions. is

(a) 1

(b)  √2

(c) 3

(d) 1/√3

Q295.   If tan 15°= 2 – √3, the value of tan 15° cot 75° + tan 75° cot 15° is

(a) 14

(b) 12

(c) 10

(d) 8

Q296. If x, y are acute angles, 0 < x + y < 90° and sin (2x – 20°) = cos (2y + 20°), then the value of tan (x + y) is :

 

(a)  1/√3

(b)  Trigonometry Part 8: Advance math series 2000 most important questions.

(c)  √3

(d)     1

Q297.  If  ΔA and ΔB are complementary to each other, then the value of sec2 A + sec2 B – sec2 A.  sec2 B is :

(a) 1

(b) -1

(c) 2

(d) 0

Q298.  sin2 5° + sin26° +…+ sin284° + sin285° = ?

(a)   Trigonometry Part 8: Advance math series 2000 most important questions.

(b)    Trigonometry Part 8: Advance math series 2000 most important questions.

(c)     40

(d)  Trigonometry Part 8: Advance math series 2000 most important questions.

Q299.  sin25° + sin210° + sin2 15° + …+ sin285° + sin2 90° is equal to

(a)  Trigonometry Part 8: Advance math series 2000 most important questions.

(b)  Trigonometry Part 8: Advance math series 2000 most important questions.

(c)    9

(d)  Trigonometry Part 8: Advance math series 2000 most important questions.

Q300. The value of + 2 tan 11° tan 31°  tan 45° tan 59° tan 79°- 3(sin221°+ sin2 69°) is :

(a)  2

(b) -1

(c)  1

(d) 0

 

Q301. Trigonometry Part 8: Advance math series 2000 most important questions.

(a)  30°

(b)  45°

(c)  60°

(d)  None of these

Q302. If A = tan 11° tan 29° ,  B = 2 cot 61° cot 79°  then :

(a) A = 2B

(b) A = -2B

(c) 2A = B

(d) 2A= – B

Q303. .  If sin 17°=   , then the value of (sec 17° – sin 73°) is :

(a)    Trigonometry Part 8: Advance math series 2000 most important questions.

(b)   Trigonometry Part 8 (Solution): Advance math series 2000 most important questions.

(c)    Trigonometry Part 8: Advance math series 2000 most important questions.

(d)   Trigonometry Part 8: Advance math series 2000 most important questions.

Q304. If 0°<θ< 90°, then value of sin θ  + cos θ is

(a) equal to 1

(b) greater than 1

(c) less than  1

(d) equal to 2

Q305.  The expression Trigonometry Part 8: Advance math series 2000 most important questions.  is equal to

(a) tan 33° cot 57°

(b) tan 57° cot 37°

(c) tan 33° cot 53°

(d) tan 53° cot 37°

Q306. The value of  Trigonometry Part 8: Advance math series 2000 most important questions.  is:

(a) 0

(b) 1

(c) √3-1

(d) -1

Q307. The value of cot θ. tan (90°- θ) – sec (90°- θ) cosec θ + (sin225° + sin2 65°) +√3 (tan 5° tan 15°. tan 30°. tan 75°. tan 85°) is :

(a) 1

(b) -1

(c) 2

(d) 0

Q308.   if sin (3x-20°) = cos (3y+20°), then the value of (x+y) is 

(a) 20°

(b) 30°

(c) 63°

(d) 67°

Q309. If cosθ cosec 23° = 1, the value of θ  is :

(a) 23°

(b) 37°

(c) 63°

(d) 67°

Q310. .  If 2(cos2θ – sin2θ) = 1, θ  is a positive acute angle, then the value of θ is

(a)  Trigonometry Part 8: Advance math series 2000 most important questions.

(b)  30°

(c) 45°

(d) 60°

Q311. the value of (tan35° tan 45° tan 55°) is :

(a) 1/2

(b) 2

(c) 0

(d) 1

Q312.  If sec (7θ + 28°) = cosec (30°-3θ) then the value of θ  is :

(a) 8°

(b) 5°

(c) 60°

(d) 9°

Q313.  If tanTrigonometry Part 8: Advance math series 2000 most important questions. =√3 , the value of cos is 

(a)     0

(b)    1/√2

(c)   1/2

(d)    1

Trigonometry Part 8
Q314.  If 7 sin2 θ+3 cos2  θ= 4(0°≤θ≤ 90°), then value of θ is :

(a) π/2

(b) π/3

(c) π/6

(d) π/4

Q315. If  (0°<θ< 90°), then sec θ  + tan θ is equal to

(a) x/2

(b) 2x

(c) x

(d) 1/2x

Q316. The value of cos 1° cos 2° cos 3°……cos 177° cos 178° cos 179° is :

(a) 0

(b) 1/2

(c) 1

(d) 1/√2

Q317.  The value of (sin2 25° + sin265°) is :

(a) √3

(b)   1

(c)   0

(d) 2/√3

Q318. If sec θ + tan θ =√3-(0≤θ≤90°), then tan 3θ is : 

(a) undefined

(b) 1/√3

(c) √3

(d) 1

Q319. If sin (60° – θ) = cos(Ψ-30°) then the value of tan (Ψ- θ) is (assume that θ are both positive acute angles with θ< 60° and Ψ> 30°).

(a)  1/√3

(b)  0

(c)  √3

(d)  1

Q320. If a sin θ  + b cos θ = c then the value of a cos θ – b sin θ is

(a) Trigonometry Part 8: Advance math series 2000 most important questions.

(b) Trigonometry Part 8 (Solution): Advance math series 2000 most important questions.

(c) Trigonometry Part 8: Advance math series 2000 most important questions.

(d) Trigonometry Part 8 (Solution): Advance math series 2000 most important questions.

 

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